IDEAS home Printed from https://ideas.repec.org/p/alo/isipdp/09-02.html
   My bibliography  Save this paper

Bertrand competition with non-rigid capacity constraints

Author

Listed:
  • Prabal Roy Chowdhury

    (Indian Statistical Institute, New Delhi
    Indian Statistical Institute, New Delhi)

Abstract

We examine a model of Bertrand competition with non-rigid capacity constraints, so that by incurring an additional per unit cost of capacity expansion, firms can produce beyond capacity. We find that there is an interval of prices such that a price can be sustained as a pure strategy Nash equilibrium if and only if it lies in this interval. We then examine the properties of this set as [a] the number of firms becomes large and [b] the capacity cost increases.

Suggested Citation

  • Prabal Roy Chowdhury, 2009. "Bertrand competition with non-rigid capacity constraints," Discussion Papers 09-02, Indian Statistical Institute, Delhi.
  • Handle: RePEc:alo:isipdp:09-02
    as

    Download full text from publisher

    File URL: http://www.isid.ac.in/~pu/dispapers/dp09-02.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Dastidar, Krishnendu Ghosh, 1995. "On the Existence of Pure Strategy Bertrand Equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 19-32, January.
    2. Dixit, Avinash, 1980. "The Role of Investment in Entry-Deterrence," Economic Journal, Royal Economic Society, vol. 90(357), pages 95-106, March.
    3. Beth Allen & Martin Hellwig, 1986. "Bertrand-Edgeworth Oligopoly in Large Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(2), pages 175-204.
    4. Boccard, Nicolas & Wauthy, Xavier, 2004. "Bertrand competition and Cournot outcomes: a correction," Economics Letters, Elsevier, vol. 84(2), pages 163-166, August.
    5. Boccard, Nicolas & Wauthy, Xavier, 2000. "Bertrand competition and Cournot outcomes: further results," Economics Letters, Elsevier, vol. 68(3), pages 279-285, September.
    6. Vives, Xavier, 1986. "Rationing rules and Bertrand-Edgeworth equilibria in large markets," Economics Letters, Elsevier, vol. 21(2), pages 113-116.
    7. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, II: Applications," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(1), pages 27-41.
    8. Novshek, William & Chowdhury, Prabal Roy, 2003. "Bertrand equilibria with entry: limit results," International Journal of Industrial Organization, Elsevier, vol. 21(6), pages 795-808, June.
    9. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Marie-Laure Cabon-Dhersin & Nicolas Drouhin, 2022. "Chamberlin without differentiation: Soft-capacity constrained price competition with free entry," Post-Print halshs-03378500, HAL.
    2. Subhayu Bandyopadhyay & Sugata Marjit & Lei Yang, 2010. "An evaluation of the employment effects of barriers to outsourcing," Working Papers 2010-030, Federal Reserve Bank of St. Louis.
    3. Marie‐Laure Cabon‐Dhersin & Nicolas Drouhin, 2014. "Tacit Collusion in a One‐Shot Game of Price Competition with Soft Capacity Constraints," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 23(2), pages 427-442, June.
    4. Antoniou, Fabio & Fiocco, Raffaele & Guo, Dongyu, 2017. "Asymmetric price adjustments: A supply side approach," International Journal of Industrial Organization, Elsevier, vol. 50(C), pages 335-360.
    5. Makoto Yano & Takashi Komatsubara, 2018. "Price competition or price leadership," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(4), pages 1023-1057, December.
    6. Marie-Laure Cabon-Dhersin & Jonas Didisse, 2017. "Inter-university competition and high tuition fees," Post-Print hal-02356872, HAL.
    7. Cabon-Dhersin Marie-Laure & Drouhin Nicolas, 2017. "A general model of price competition with soft capacity constraints," Working Papers 2017-56, Center for Research in Economics and Statistics.
    8. Marie-Laure Cabon-Dhersin & Nicolas Drouhin, 2020. "A general model of price competition with soft capacity constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(1), pages 95-120, July.
    9. Marie-Laure Cabon-Dhersin & Nicolas Drouhin, 2021. "Chamberlin without differentiation: Soft-capacity constrained price competition with free entry," Working Papers halshs-03378500, HAL.
    10. Makoto Yano & Takashi Komatsubara, 2012. "Price Competition or Tacit Collusion," KIER Working Papers 807, Kyoto University, Institute of Economic Research.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Roy Chowdhury, Prabal, 2009. "Bertrand competition with non-rigid capacity constraints," Economics Letters, Elsevier, vol. 103(1), pages 55-58, April.
    2. Marie-Laure Cabon-Dhersin & Nicolas Drouhin, 2020. "A general model of price competition with soft capacity constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(1), pages 95-120, July.
    3. Prabal Roy Chowdhury, 2004. "Bertrand-Edgeworth equilibrium with a large number of firms," Discussion Papers 04-12, Indian Statistical Institute, Delhi.
    4. Prabal Roy Chowdhury, 2004. "Bertrand-Edgeworth equilibrium: Manipulable residual demand," Discussion Papers 04-15, Indian Statistical Institute, Delhi.
    5. Allison, Blake A. & Lepore, Jason J., 2014. "Verifying payoff security in the mixed extension of discontinuous games," Journal of Economic Theory, Elsevier, vol. 152(C), pages 291-303.
    6. Novshek, William & Chowdhury, Prabal Roy, 2003. "Bertrand equilibria with entry: limit results," International Journal of Industrial Organization, Elsevier, vol. 21(6), pages 795-808, June.
    7. Roy Chowdhury, Prabal, 2008. "Bertrand-Edgeworth equilibrium with a large number of firms," International Journal of Industrial Organization, Elsevier, vol. 26(3), pages 746-761, May.
    8. Jacobs, Martin & Requate, Till, 2016. "Bertrand-Edgeworth markets with increasing marginal costs and voluntary trading: Experimental evidence," Economics Working Papers 2016-01, Christian-Albrechts-University of Kiel, Department of Economics.
    9. Cabon-Dhersin Marie-Laure & Drouhin Nicolas, 2017. "A general model of price competition with soft capacity constraints," Working Papers 2017-56, Center for Research in Economics and Statistics.
    10. García Díaz, Antón & Kujal, Praveen, 1998. "List princing and pure strategy outcomes in a bertrand edgeworth duopoly," UC3M Working papers. Economics 6089, Universidad Carlos III de Madrid. Departamento de Economía.
    11. Massimo A. De Francesco & Neri Salvadori, 2022. "Bertrand–Edgeworth oligopoly: Characterization of mixed strategy equilibria when some firms are large and the others are small," Metroeconomica, Wiley Blackwell, vol. 73(3), pages 803-824, July.
    12. Tasnádi, Attila, 2001. "A Bertrand-Edgeworth-oligopóliumok. Irodalmi áttekintés [Bertrand-Edgeworth oligopolies - a survey of the literature]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(12), pages 1081-1092.
    13. Massimo A. De Francesco, 2006. "Endogenous entry under Bertrand-Edgeworth and Cournot competition with capacity indivisibility," Department of Economics University of Siena 480, Department of Economics, University of Siena.
    14. Chowdhury, Prabal Roy, 1999. "Bertrand-Edgeworth equilibria with unobservable output, uncoordinated consumers and large number of firms," Economics Letters, Elsevier, vol. 63(2), pages 207-211, May.
    15. Massimo A. Francesco, 2014. "A Dynamic Entry And Price Game With Capacity Indivisibility," Bulletin of Economic Research, Wiley Blackwell, vol. 66(4), pages 406-419, October.
    16. De Francesco, Massimo A. & Salvadori, Neri, 2016. "Bertrand-Edgeworth games under triopoly: the equilibrium strategies when the payoffs of the two smallest firms are proportional to their capacities," MPRA Paper 69999, University Library of Munich, Germany.
    17. Zhiqi Chen & Gang Li, 2018. "Horizontal Mergers In The Presence Of Capacity Constraints," Economic Inquiry, Western Economic Association International, vol. 56(2), pages 1346-1356, April.
    18. De Francesco, Massimo A. & Salvadori, Neri, 2015. "Bertrand-Edgeworth games under triopoly: the payoffs," MPRA Paper 64638, University Library of Munich, Germany.
    19. Hirata, Daisuke, 2008. "Bertrand-Edgeworth Equilibrium in Oligopoly," MPRA Paper 7946, University Library of Munich, Germany.
    20. Tasnadi, Attila, 1999. "Existence of pure strategy Nash equilibrium in Bertrand-Edgeworth oligopolies," Economics Letters, Elsevier, vol. 63(2), pages 201-206, May.

    More about this item

    Keywords

    Bertrand competition; capacity constraint;

    JEL classification:

    • D4 - Microeconomics - - Market Structure, Pricing, and Design
    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:alo:isipdp:09-02. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Debasis Mishra (email available below). General contact details of provider: https://edirc.repec.org/data/isindin.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.